Iqbal, Azhar and Weigert, S. orcid.org/0000-0002-6647-3252 (2004) Quantum correlation games. Journal of Physics A: Mathematical and General. pp. 5873-5885. ISSN 0305-4470
A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of correlations, i.e. without reference to classical or quantum mechanics. Classical bi-matrix games are reproduced if the input states are classical and perfectly anti-correlated, that is, for a classical correlation game. However, for a quantum correlation game, with an entangled singlet state as input, qualitatively different solutions are obtained. For example, the Prisoners' Dilemma acquires a Nash equilibrium if both players apply a mixed strategy. It appears to be conceptually impossible to reproduce the properties of quantum correlation games within the framework of classical games.
|Copyright, Publisher and Additional Information:||© 2004 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Physics A: Mathematical and General.|
|Institution:||The University of York|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||Repository Officer|
|Date Deposited:||22 Jun 2006|
|Last Modified:||01 May 2016 18:38|